Acronym	sishi
Name	small stellated hecatonicosachoron
Cross sections	©
Circumradius	1
Inradius	(1+sqrt(5))/4 = 0.809017
General of army	ex
Colonel of regiment	(is itself locally convex – uniform polychoral members: by cells: co ditdid gad gidtid gike ike oct oho pip sidtid sissid stip tet thah trip sadixhix (compound) 300 0 0 0 0 0 0 0 0 0 0 0 0 600 0 gadixhix (compound) 300 0 0 0 0 0 0 0 0 0 0 0 0 600 0 idhi 0 120 0 0 0 0 0 0 0 0 0 0 0 0 0 gaghi 0 0 120 0 0 0 0 0 0 0 0 0 0 0 0 didhi 0 0 0 120 120 0 0 0 0 0 0 0 0 0 0 gitpodady (fissary) 0 0 0 120 0 120 0 0 0 0 0 0 0 0 0 sridixhi 0 0 0 120 0 0 0 0 0 0 0 0 600 0 0 dittady 0 0 0 0 120 120 0 0 0 0 0 0 0 0 0 sifdahihox (fissary) 0 0 0 0 120 0 0 300 0 0 0 0 0 0 0 sitpodady (fissary) 0 0 0 0 120 0 0 0 0 120 0 0 0 0 0 sidtixhi 0 0 0 0 120 0 0 0 0 0 0 0 600 0 0 sridaphi 0 0 0 0 120 0 0 0 0 0 0 0 0 0 1200 gifdahihox (fissary) 0 0 0 0 0 120 0 300 0 0 0 0 0 0 0 ofiddady 0 0 0 0 0 120 0 0 0 120 0 0 0 0 0 gidtixhi 0 0 0 0 0 120 0 0 0 0 0 0 600 0 0 gridaphi 0 0 0 0 0 120 0 0 0 0 0 0 0 0 1200 dox (compound) 0 0 0 0 0 0 600 0 0 0 0 0 0 0 0 paphacki 0 0 0 0 0 0 0 0 720 0 0 0 0 0 0 gridixhi 0 0 0 0 0 0 0 0 0 120 0 0 600 0 0 sishi 0 0 0 0 0 0 0 0 0 0 120 0 0 0 0 paphicki 0 0 0 0 0 0 0 0 0 0 0 720 0 0 0   & others)
Dual	fix
Confer	Grünbaumian relatives: sishi+gaghi+120did   sishi+gaghi+idhi   sishi+gridixhi   sishi+idhi   sishi+ofiddady   sishi+paphicki+gridaphi   2sishi   2sishi+2paphicki   general polytopal classes: regular
External links

As abstract polytope sishi is isomorphic to gaghi, thereby replacing sissid by gad, resp. replacing doe vertex figures by gissid ones.

Incidence matrix according to Dynkin symbol

x5/2o5o3o

.   . . . | 120 ♦   20 |  30 |  12
----------+-----+------+-----+----
x   . . . |   2 | 1200 |   3 |   3
----------+-----+------+-----+----
x5/2o . . |   5 |    5 | 720 |   2
----------+-----+------+-----+----
x5/2o5o . ♦  12 |   30 |  12 | 120

x5/2o5o3/2o

.   . .   . | 120 ♦   20 |  30 |  12
------------+-----+------+-----+----
x   . .   . |   2 | 1200 |   3 |   3
------------+-----+------+-----+----
x5/2o .   . |   5 |    5 | 720 |   2
------------+-----+------+-----+----
x5/2o5o   . ♦  12 |   30 |  12 | 120

x5/2o5/4o3o

.   .   . . | 120 ♦   20 |  30 |  12
------------+-----+------+-----+----
x   .   . . |   2 | 1200 |   3 |   3
------------+-----+------+-----+----
x5/2o   . . |   5 |    5 | 720 |   2
------------+-----+------+-----+----
x5/2o5/4o . ♦  12 |   30 |  12 | 120

x5/2o5/4o3/2o

.   .   .   . | 120 ♦   20 |  30 |  12
--------------+-----+------+-----+----
x   .   .   . |   2 | 1200 |   3 |   3
--------------+-----+------+-----+----
x5/2o   .   . |   5 |    5 | 720 |   2
--------------+-----+------+-----+----
x5/2o5/4o   . ♦  12 |   30 |  12 | 120

x5/3o5o3o

.   . . . | 120 ♦   20 |  30 |  12
----------+-----+------+-----+----
x   . . . |   2 | 1200 |   3 |   3
----------+-----+------+-----+----
x5/3o . . |   5 |    5 | 720 |   2
----------+-----+------+-----+----
x5/3o5o . ♦  12 |   30 |  12 | 120

x5/3o5o3/2o

.   . .   . | 120 ♦   20 |  30 |  12
------------+-----+------+-----+----
x   . .   . |   2 | 1200 |   3 |   3
------------+-----+------+-----+----
x5/3o .   . |   5 |    5 | 720 |   2
------------+-----+------+-----+----
x5/3o5o   . ♦  12 |   30 |  12 | 120

x5/3o5/4o3o

.   .   . . | 120 ♦   20 |  30 |  12
------------+-----+------+-----+----
x   .   . . |   2 | 1200 |   3 |   3
------------+-----+------+-----+----
x5/3o   . . |   5 |    5 | 720 |   2
------------+-----+------+-----+----
x5/3o5/4o . ♦  12 |   30 |  12 | 120

x5/3o5/4o3/2o

.   .   .   . | 120 ♦   20 |  30 |  12
--------------+-----+------+-----+----
x   .   .   . |   2 | 1200 |   3 |   3
--------------+-----+------+-----+----
x5/3o   .   . |   5 |    5 | 720 |   2
--------------+-----+------+-----+----
x5/3o5/4o   . ♦  12 |   30 |  12 | 120